Multiplicity of states for two-sided and four-sided lid driven cavity flows

Wahba, Essam

doi:10.1016/j.compfluid.2008.02.001

Cited by 67 publications

(45 citation statements)

References 28 publications

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“…7. The results are compared with the results of Wahba (2009) in the above part of Fig. 7, while the results with same Reynolds number are presented with the below part of Fig.…”

Section: Flow In a Non-facing Square Cavitymentioning

confidence: 99%

“…Non-linear phenomena of flow inside cavity exhibit multiple steady solutions at high Reynolds number. Wahba (2009) have proposed the multiple solutions for a single Reynolds number with non-facing cavity. Luo and Yang (2007) studied multiple solution phenomena for two sided facing cavity with parallel wall motion, anti-parallel wall motion and non-facing wall motion.…”

Section: Introductionmentioning

confidence: 99%

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Steady viscous flow inside deep, shallow and skewed cavities by an implicit Navier-Stokes solver

Fayyaz¹,

Shah

2018

Int. j. adv. appl. sci.

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In this paper, accurate and efficient calculations of the flow inside different types of cavities are presented. The incompressible Navier-Stokes equations are expressed in generalized curvilinear coordinates using artificial compressibility method. The governing equation in conservative form is solved numerically using an upwind compact finite difference scheme. The solution algorithm for solving the resulting linear system of equation is approximate factorization based ADI scheme. The computed results are compared with the results in the literature and the agreement is good. Also the presence of multiple solution and critical value of aspect ratio and Reynolds number for two sided cavity calculated and compared.

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“…7. The results are compared with the results of Wahba (2009) in the above part of Fig. 7, while the results with same Reynolds number are presented with the below part of Fig.…”

Section: Flow In a Non-facing Square Cavitymentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Steady viscous flow inside deep, shallow and skewed cavities by an implicit Navier-Stokes solver

Fayyaz¹,

Shah

2018

Int. j. adv. appl. sci.

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show abstract

“…Mostly this problem finds more industrial applications like short dwell, spray coatings etc., and there are many a number of simulation works were reported on single-wall and two-sided-wall motion of lid-driven square cavity and bifurcations using different numerical methods [1][2][3][4][5][6][7][8][9]. From the literature, it is found that very less amount of works have been reported on oscillating lid driven square cavity [10,11].…”

Section: Introductionmentioning

confidence: 99%

Numerical Study of Fluid Dynamics in Oscillating Deep Cavities

Varma¹,

Maniyeri²,

Kang³

2016

IOSR

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“…In lid-driven cavity flow, there are many variations of research that have been conducted and published compared to the original condition, which use two-dimensional square cavities and a driven top lid. Examples of these variations are a two-sided driven cavity (Albensoeder, Kuhlmann, & Rath, 2001) a four-sided driven cavity (Wahba, 2009), a triangular cavity (Erturk & Gokcol, 2007), a trapezium cavity (Zhang, Shi, & Chai, 2010)), convection mixed (Azwadi & Idris, 2010) and even a semi-circular cavity, which is quite recent for lid-driven cavity flow. On the semi-circular cavity, there are only a few research papers and the basic variation is the Reynolds number, which ranges from 100 to 6600.…”

Section: Introductionmentioning

confidence: 99%

Transient Semi-Circular Lid-Driven Cavity Flow using Non- Uniform Structured Grid Method with Upwind Scheme

Sahat¹,

Ammar²,

Yusoff³

et al. 2013

J MECH ENG SCI

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In this article, two-dimensional lid-driven cavity flow in a semi-circular cavity is simulated using a non-uniform finite different method with structured grid. NavierStokes and continuity equations are simplified using a non-dimensional streamfunctionvorticity approach. A Reynolds number of 1000 is used and the vorticity and streamfunction contour plot is monitored with convergence criteria of 1x10 -7 set to both the vorticity and the streamfunction value. The result shows that the primary vortex moves from the upper left cavity corner to the upper right corner, while the magnitude of the streamfunction grows at the primary vortex center. The primary vortex size decreases steadily as the time increases. This phenomenon is greatly affected by the increasing size of the secondary vortex at the lower left. Slight changes of vortex size are observed as the flow achieves a steady state condition. Validation of the simulation results shows the current value deviation from the established result is less than 5%. In future, it is recommended to use a better numerical method so that the simulation is more stable and so that the calculation time can be reduced.

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Multiplicity of states for two-sided and four-sided lid driven cavity flows

Cited by 67 publications

References 28 publications

Steady viscous flow inside deep, shallow and skewed cavities by an implicit Navier-Stokes solver

Steady viscous flow inside deep, shallow and skewed cavities by an implicit Navier-Stokes solver

Numerical Study of Fluid Dynamics in Oscillating Deep Cavities

Transient Semi-Circular Lid-Driven Cavity Flow using Non- Uniform Structured Grid Method with Upwind Scheme

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